Long wavelength instability of the ABC-flows

Authors:
A. Libin and G. Sivashinsky

Journal:
Quart. Appl. Math. **48** (1990), 611-623

MSC:
Primary 76E99; Secondary 76D99

DOI:
https://doi.org/10.1090/qam/1079909

MathSciNet review:
MR1079909

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Abstract | References | Similar Articles | Additional Information

Abstract: Multiple-scale and spectral (Galerkin) techniques are employed to analyze the long-wave stability of a simple periodic helical flow at large Reynolds numbers. For a certain class of long-wave perturbations the corresponding mathematical problem admits an exact asymptotic solution, showing that the helical flow is always unstable.

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DOI:
https://doi.org/10.1090/qam/1079909

Article copyright:
© Copyright 1990
American Mathematical Society